document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119438>Question 119438</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/618594027/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> You earned the following scores on five science tests: 75,82,90,84, and 71. You want to have an average score of at least 80 after you take the sixth test.<BR>\n" );
document.write( "a. Write and solve an inequality to find the possible scores that you can earn on your sixth test in order to meet your goal.<BR>\n" );
document.write( "b. the greatest score you can earn on a test is 100. Is it possible for you to have an average score of 90 after the sixth test? Explain you reasoning. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87515 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=87515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You earned the following scores on five science tests: 75,82,90,84, and 71. You want to have an average score of at least 80 after you take the sixth test.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a. Write and solve an inequality to find the possible scores that you can earn on your sixth test in order to meet your goal.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = the required score to have an average of at least 80<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2875+%2B+82+%2B+90+%2B+84+%2B+71+%2B+x%29%2F6 ALIGN=MIDDLE  ALT=\"%2875+%2B+82+%2B+90+%2B+84+%2B+71+%2B+x%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > => 80<BR>\n" );
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document.write( "Multiply equation by 6 to get rid of the denominator, add up the scores<BR>\n" );
document.write( "402 + x = 6(80)<BR>\n" );
document.write( "x => 480 - 402<BR>\n" );
document.write( "x => 78 required for at least an 80<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b. the greatest score you can earn on a test is 100. Is it possible for you to have an average score of 90 after the sixth test? Explain you reasoning.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Not possible, none of the 5 scores are above 90<BR>\n" );
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document.write( "To confirm this, you can use the above equation: substitute 100 for x and see what the average is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28402+%2B+100%29%2F6 ALIGN=MIDDLE  ALT=\"%28402+%2B+100%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 83.67 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );